213051552 has 96 divisors (see below), whose sum is σ = 645345792. Its totient is φ = 60282624.

The previous prime is 213051551. The next prime is 213051557. The reversal of 213051552 is 255150312.

It is a happy number.

213051552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213051551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70423 + ... + 73385.

It is an arithmetic number, because the mean of its divisors is an integer number (6722352).

Almost surely, 2^213051552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213051552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322672896).

213051552 is an abundant number, since it is smaller than the sum of its proper divisors (432294240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213051552 is a wasteful number, since it uses less digits than its factorization.

213051552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 213051552 is about 14596.2855548938. The cubic root of 213051552 is about 597.2574385842.

The spelling of 213051552 in words is "two hundred thirteen million, fifty-one thousand, five hundred fifty-two".